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Finding the Third Proportional to 337,966 and 472,498

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Solution

The third proportional to 337,966 and 472,498 is: 660,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,966 : 472,498 = 472,498 : x
  2. Step 2: Convert to fraction form
    337,966/472,498 = 472,498/x
  3. Step 3: Cross multiply
    337,966x = 472,498 × 472,498
  4. Step 4: Simplify right side
    337,966x = 223,254,360,004
  5. Step 5: Solve for x
    x = 223,254,360,004/337,966
  6. Step 6: Final answer
    x = 660,582.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.